Hello there, yes I have experienced what you're asking about actually three times in the last 15 years.
My grandmother, my grandfather, and my husband.
Each one of them, for various reasons, did not want to have a funeral service with a viewing, or any other type of public gathering, in a public place or at a funeral parlor.
When they passed away in hospital, their body was cremated, and then a few days later your contacted to come pick up the remains which are sealed in a plastic bag inside of a hard container.
A box approximately 35 cm by 15 cm by 10 cm I'm just guessing? Don't have a ruler on me at the moment.
The cost was between 1750-2000 pounds.
We had a immediate family only scattering of the ashes for my grandparents as they didn't have any other family / close friends to contact.
For my husband, I threw a massive open house celebration of life which was very similar to a family style Christmas party, in which many people contributed by bringing food (but I also had lots of food here, drinks, etc...) All the decorations were made by myself and they were large poster boards featuring photographs of my husband, photos taken from his entire life showing all the things that he had done, in his work, in his recreation, volunteering, funny times, family times... I took 1,000 photos and put them digitally on to a memory stick and put those on a rotating slideshow on different large screens so that anywhere that people were, a big beautiful photograph of him doing something lovely was on screen for about 15 seconds per image.
I also used a service but I found online that you can contact and they will send you a small kit in which you can put a small portion of your loved ones ashes in the kit, mail it back to them, and they can make you a memorial piece, I chose a glass pendant, but there were many other choices available including a lovely urn topper if that's what you want to do... In which they embed some of your loved ones ashes into this glass piece and create a unique personalized item for you. Mine looks like a little piece of the night sky trapped in glass, and it's given me an immense comfort to have this tiny little piece of him next to me.
More: The scattering of ashes in a public place can be a little bit tricky, you should never advertise that's what you're doing or make it incredibly obvious. There may be some bylaws in place about that. We did it covertly, and it was a family only small quick ceremony.
But yes, to circle back to your question, the cost was approximately £1750-2000 for us to just have the cremation, and then we decided what we wanted to do going forward in terms of providing closure. I have never enjoyed going to a funeral home, and I know other people feel the same way although there are other people (usually older generation) who think that that's entirely appropriate and that choosing a less conventional closure such as mine, is a bit odd. You do what you need to do based on whatever feels right for you, and like a wedding, I don't think a funeral should have to be something that you go into massive debt to be able to afford. There are many affordable options out there. And, if you are asking this question because you've recently lost a loved one, I'm sorry for your loss.
💜